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NSDecimalNumber.swift
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// This source file is part of the Swift.org open source project
//
// Copyright (c) 2014 - 2019 Apple Inc. and the Swift project authors
// Licensed under Apache License v2.0 with Runtime Library Exception
//
// See https://swift.org/LICENSE.txt for license information
// See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors
//
/*************** Exceptions ***********/
public struct NSExceptionName : RawRepresentable, Equatable, Hashable {
public private(set) var rawValue: String
public init(_ rawValue: String) {
self.rawValue = rawValue
}
public init(rawValue: String) {
self.rawValue = rawValue
}
}
extension NSExceptionName {
public static let decimalNumberExactnessException = NSExceptionName(rawValue: "NSDecimalNumberExactnessException")
public static let decimalNumberOverflowException = NSExceptionName(rawValue: "NSDecimalNumberOverflowException")
public static let decimalNumberUnderflowException = NSExceptionName(rawValue: "NSDecimalNumberUnderflowException")
public static let decimalNumberDivideByZeroException = NSExceptionName(rawValue: "NSDecimalNumberDivideByZeroException")
}
/*************** Rounding and Exception behavior ***********/
// Rounding policies :
// Original
// value 1.2 1.21 1.25 1.35 1.27
// Plain 1.2 1.2 1.3 1.4 1.3
// Down 1.2 1.2 1.2 1.3 1.2
// Up 1.2 1.3 1.3 1.4 1.3
// Bankers 1.2 1.2 1.2 1.4 1.3
/*************** Type definitions ***********/
extension NSDecimalNumber {
public enum RoundingMode : UInt {
case plain // Round up on a tie
case down // Always down == truncate
case up // Always up
case bankers // on a tie round so last digit is even
}
public enum CalculationError : UInt {
case noError
case lossOfPrecision // Result lost precision
case underflow // Result became 0
case overflow // Result exceeds possible representation
case divideByZero
}
}
public protocol NSDecimalNumberBehaviors {
func roundingMode() -> NSDecimalNumber.RoundingMode
func scale() -> Int16
}
// Receiver can raise, return a new value, or return nil to ignore the exception.
fileprivate func handle(_ error: NSDecimalNumber.CalculationError, _ handler: NSDecimalNumberBehaviors) {
// handle the error condition, such as throwing an error for over/underflow
}
/*************** NSDecimalNumber: the class ***********/
open class NSDecimalNumber : NSNumber {
fileprivate let decimal: Decimal
public convenience init(mantissa: UInt64, exponent: Int16, isNegative: Bool) {
var d = Decimal(mantissa)
d._exponent += Int32(exponent)
d._isNegative = isNegative ? 1 : 0
self.init(decimal: d)
}
public init(decimal dcm: Decimal) {
self.decimal = dcm
super.init()
}
public convenience init(string numberValue: String?) {
self.init(decimal: Decimal(string: numberValue ?? "") ?? Decimal.nan)
}
public convenience init(string numberValue: String?, locale: Any?) {
self.init(decimal: Decimal(string: numberValue ?? "", locale: locale as? Locale) ?? Decimal.nan)
}
public required init?(coder: NSCoder) {
guard coder.allowsKeyedCoding else {
preconditionFailure("Unkeyed coding is unsupported.")
}
let exponent:Int32 = coder.decodeInt32(forKey: "NS.exponent")
let length:UInt32 = UInt32(coder.decodeInt32(forKey: "NS.length"))
let isNegative:UInt32 = UInt32(coder.decodeBool(forKey: "NS.negative") ? 1 : 0)
let isCompact:UInt32 = UInt32(coder.decodeBool(forKey: "NS.compact") ? 1 : 0)
// let byteOrder:UInt32 = UInt32(coder.decodeInt32(forKey: "NS.bo"))
guard let mantissaData: Data = coder.decodeObject(forKey: "NS.mantissa") as? Data else {
return nil // raise "Critical NSDecimalNumber archived data is missing"
}
guard mantissaData.count == Int(NSDecimalMaxSize * 2) else {
return nil // raise "Critical NSDecimalNumber archived data is wrong size"
}
// Byte order?
let mantissa:(UInt16, UInt16, UInt16, UInt16, UInt16, UInt16, UInt16, UInt16) = (
UInt16(mantissaData[0]) << 8 & UInt16(mantissaData[1]),
UInt16(mantissaData[2]) << 8 & UInt16(mantissaData[3]),
UInt16(mantissaData[4]) << 8 & UInt16(mantissaData[5]),
UInt16(mantissaData[6]) << 8 & UInt16(mantissaData[7]),
UInt16(mantissaData[8]) << 8 & UInt16(mantissaData[9]),
UInt16(mantissaData[10]) << 8 & UInt16(mantissaData[11]),
UInt16(mantissaData[12]) << 8 & UInt16(mantissaData[13]),
UInt16(mantissaData[14]) << 8 & UInt16(mantissaData[15])
)
self.decimal = Decimal(_exponent: exponent, _length: length, _isNegative: isNegative, _isCompact: isCompact, _reserved: 0, _mantissa: mantissa)
super.init()
}
public init(value: Int) {
decimal = Decimal(value)
super.init()
}
public init(value: UInt) {
decimal = Decimal(value)
super.init()
}
public init(value: Int8) {
decimal = Decimal(value)
super.init()
}
public init(value: UInt8) {
decimal = Decimal(value)
super.init()
}
public init(value: Int16) {
decimal = Decimal(value)
super.init()
}
public init(value: UInt16) {
decimal = Decimal(value)
super.init()
}
public init(value: Int32) {
decimal = Decimal(value)
super.init()
}
public init(value: UInt32) {
decimal = Decimal(value)
super.init()
}
public init(value: Int64) {
decimal = Decimal(value)
super.init()
}
public init(value: UInt64) {
decimal = Decimal(value)
super.init()
}
public init(value: Bool) {
decimal = Decimal(value ? 1 : 0)
super.init()
}
public init(value: Float) {
decimal = Decimal(Double(value))
super.init()
}
public init(value: Double) {
decimal = Decimal(value)
super.init()
}
public required convenience init(floatLiteral value: Double) {
self.init(decimal:Decimal(value))
}
public required convenience init(booleanLiteral value: Bool) {
if value {
self.init(integerLiteral: 1)
} else {
self.init(integerLiteral: 0)
}
}
public required convenience init(integerLiteral value: Int) {
self.init(decimal:Decimal(value))
}
public required convenience init(bytes buffer: UnsafeRawPointer, objCType type: UnsafePointer<Int8>) {
NSRequiresConcreteImplementation()
}
open override var description: String {
var number = self.decimal
return NSDecimalString(&number, nil)
}
open override func description(withLocale locale: Locale?) -> String {
var number = self.decimal
return NSDecimalString(&number, locale)
}
open class var zero: NSDecimalNumber {
return NSDecimalNumber(integerLiteral: 0)
}
open class var one: NSDecimalNumber {
return NSDecimalNumber(integerLiteral: 1)
}
open class var minimum: NSDecimalNumber {
return NSDecimalNumber(decimal:Decimal.leastFiniteMagnitude)
}
open class var maximum: NSDecimalNumber {
return NSDecimalNumber(decimal:Decimal.greatestFiniteMagnitude)
}
open class var notANumber: NSDecimalNumber {
return NSDecimalNumber(decimal: Decimal.nan)
}
open func adding(_ other: NSDecimalNumber) -> NSDecimalNumber {
return adding(other, withBehavior: nil)
}
open func adding(_ other: NSDecimalNumber, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var left = self.decimal
var right = other.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalAdd(&result, &left, &right, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
open func subtracting(_ other: NSDecimalNumber) -> NSDecimalNumber {
return subtracting(other, withBehavior: nil)
}
open func subtracting(_ other: NSDecimalNumber, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var left = self.decimal
var right = other.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalSubtract(&result, &left, &right, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
open func multiplying(by other: NSDecimalNumber) -> NSDecimalNumber {
return multiplying(by: other, withBehavior: nil)
}
open func multiplying(by other: NSDecimalNumber, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var left = self.decimal
var right = other.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalMultiply(&result, &left, &right, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
open func dividing(by other: NSDecimalNumber) -> NSDecimalNumber {
return dividing(by: other, withBehavior: nil)
}
open func dividing(by other: NSDecimalNumber, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var left = self.decimal
var right = other.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalDivide(&result, &left, &right, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
open func raising(toPower power: Int) -> NSDecimalNumber {
return raising(toPower:power, withBehavior: nil)
}
open func raising(toPower power: Int, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var input = self.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalPower(&result, &input, power, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
open func multiplying(byPowerOf10 power: Int16) -> NSDecimalNumber {
return multiplying(byPowerOf10: power, withBehavior: nil)
}
open func multiplying(byPowerOf10 power: Int16, withBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var input = self.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let error = NSDecimalMultiplyByPowerOf10(&result, &input, power, roundingMode)
handle(error,behavior)
return NSDecimalNumber(decimal: result)
}
// Round to the scale of the behavior.
open func rounding(accordingToBehavior b: NSDecimalNumberBehaviors?) -> NSDecimalNumber {
var result = Decimal()
var input = self.decimal
let behavior = b ?? NSDecimalNumber.defaultBehavior
let roundingMode = behavior.roundingMode()
let scale = behavior.scale()
NSDecimalRound(&result, &input, Int(scale), roundingMode)
return NSDecimalNumber(decimal: result)
}
// compare two NSDecimalNumbers
open override func compare(_ decimalNumber: NSNumber) -> ComparisonResult {
if let num = decimalNumber as? NSDecimalNumber {
return decimal.compare(to:num.decimal)
} else {
return decimal.compare(to:Decimal(decimalNumber.doubleValue))
}
}
open class var defaultBehavior: NSDecimalNumberBehaviors {
return NSDecimalNumberHandler.defaultBehavior
}
// One behavior per thread - The default behavior is
// rounding mode: NSRoundPlain
// scale: No defined scale (full precision)
// ignore exactnessException
// raise on overflow, underflow and divide by zero.
static let OBJC_TYPE = "d".utf8CString
open override var objCType: UnsafePointer<Int8> {
return NSDecimalNumber.OBJC_TYPE.withUnsafeBufferPointer{ $0.baseAddress! }
}
// return 'd' for double
open override var int8Value: Int8 {
return Int8(truncatingIfNeeded: decimal.int64Value)
}
open override var uint8Value: UInt8 {
return UInt8(truncatingIfNeeded: decimal.uint64Value)
}
open override var int16Value: Int16 {
return Int16(truncatingIfNeeded: decimal.int64Value)
}
open override var uint16Value: UInt16 {
return UInt16(truncatingIfNeeded: decimal.uint64Value)
}
open override var int32Value: Int32 {
return Int32(truncatingIfNeeded: decimal.int64Value)
}
open override var uint32Value: UInt32 {
return UInt32(truncatingIfNeeded: decimal.uint64Value)
}
open override var int64Value: Int64 {
return decimal.int64Value
}
open override var uint64Value: UInt64 {
return decimal.uint64Value
}
open override var floatValue: Float {
return Float(decimal.doubleValue)
}
open override var doubleValue: Double {
return decimal.doubleValue
}
open override var boolValue: Bool {
return !decimal.isZero
}
open override var intValue: Int {
return Int(truncatingIfNeeded: decimal.int64Value)
}
open override var uintValue: UInt {
return UInt(truncatingIfNeeded: decimal.uint64Value)
}
open override func isEqual(_ value: Any?) -> Bool {
guard let other = value as? NSDecimalNumber else { return false }
return self.decimal == other.decimal
}
override var _swiftValueOfOptimalType: Any {
return decimal
}
}
// return an approximate double value
/*********** A class for defining common behaviors *******/
open class NSDecimalNumberHandler : NSObject, NSDecimalNumberBehaviors, NSCoding {
static let defaultBehavior = NSDecimalNumberHandler()
let _roundingMode: NSDecimalNumber.RoundingMode
let _scale:Int16
let _raiseOnExactness: Bool
let _raiseOnOverflow: Bool
let _raiseOnUnderflow: Bool
let _raiseOnDivideByZero: Bool
public override init() {
_roundingMode = .plain
_scale = Int16(NSDecimalNoScale)
_raiseOnExactness = false
_raiseOnOverflow = true
_raiseOnUnderflow = true
_raiseOnDivideByZero = true
}
public required init?(coder: NSCoder) {
guard coder.allowsKeyedCoding else {
preconditionFailure("Unkeyed coding is unsupported.")
}
_roundingMode = NSDecimalNumber.RoundingMode(rawValue: UInt(coder.decodeInteger(forKey: "NS.roundingMode")))!
if coder.containsValue(forKey: "NS.scale") {
_scale = Int16(coder.decodeInteger(forKey: "NS.scale"))
} else {
_scale = Int16(NSDecimalNoScale)
}
_raiseOnExactness = coder.decodeBool(forKey: "NS.raise.exactness")
_raiseOnOverflow = coder.decodeBool(forKey: "NS.raise.overflow")
_raiseOnUnderflow = coder.decodeBool(forKey: "NS.raise.underflow")
_raiseOnDivideByZero = coder.decodeBool(forKey: "NS.raise.dividebyzero")
}
open func encode(with coder: NSCoder) {
guard coder.allowsKeyedCoding else {
preconditionFailure("Unkeyed coding is unsupported.")
}
if _roundingMode != .plain {
coder.encode(Int(_roundingMode.rawValue), forKey: "NS.roundingmode")
}
if _scale != Int16(NSDecimalNoScale) {
coder.encode(_scale, forKey:"NS.scale")
}
if _raiseOnExactness {
coder.encode(_raiseOnExactness, forKey:"NS.raise.exactness")
}
if _raiseOnOverflow {
coder.encode(_raiseOnOverflow, forKey:"NS.raise.overflow")
}
if _raiseOnUnderflow {
coder.encode(_raiseOnUnderflow, forKey:"NS.raise.underflow")
}
if _raiseOnDivideByZero {
coder.encode(_raiseOnDivideByZero, forKey:"NS.raise.dividebyzero")
}
}
open class var `default`: NSDecimalNumberHandler {
return defaultBehavior
}
// rounding mode: NSRoundPlain
// scale: No defined scale (full precision)
// ignore exactnessException (return nil)
// raise on overflow, underflow and divide by zero.
public init(roundingMode: NSDecimalNumber.RoundingMode, scale: Int16, raiseOnExactness exact: Bool, raiseOnOverflow overflow: Bool, raiseOnUnderflow underflow: Bool, raiseOnDivideByZero divideByZero: Bool) {
_roundingMode = roundingMode
_scale = scale
_raiseOnExactness = exact
_raiseOnOverflow = overflow
_raiseOnUnderflow = underflow
_raiseOnDivideByZero = divideByZero
}
open func roundingMode() -> NSDecimalNumber.RoundingMode {
return _roundingMode
}
// The scale could return NoScale for no defined scale.
open func scale() -> Int16 {
return _scale
}
}
extension NSNumber {
public var decimalValue: Decimal {
if let d = self as? NSDecimalNumber {
return d.decimal
} else {
return Decimal(self.doubleValue)
}
}
}